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一、把整数或小数改写成百分数,把百分数改写成整数或小数。
$0.6=$
$0.08=$
$2=$
$0.375=$
$1.75=$
$10.01=$
$100=$
$0.203=$
$0.007=$
$1.23=$
$606=$
$88.8=$
$3\% =$
$0.4\% =$
$80\% =$
$100\% =$
$125\% =$
$6900\% =$
$2.5\% =$
$314\% =$
$45\% =$
$2000\% =$
$110.5\% =$
$180\% =$
$0.6=$
60%
$0.08=$
8%
$2=$
200%
$0.375=$
37.5%
$1.75=$
175%
$10.01=$
1001%
$100=$
10000%
$0.203=$
20.3%
$0.007=$
0.7%
$1.23=$
123%
$606=$
60600%
$88.8=$
8880%
$3\% =$
0.03
$0.4\% =$
0.004
$80\% =$
0.8
$100\% =$
1
$125\% =$
1.25
$6900\% =$
69
$2.5\% =$
0.025
$314\% =$
3.14
$45\% =$
0.45
$2000\% =$
20
$110.5\% =$
1.105
$180\% =$
1.8
答案
解析：本题考查的是整数、小数和百分数之间的改写。根据把整数或小数化成百分数，只要把小数点向右移动两位，同时在后面添上百分号；把百分数化成小数或整数，只要把百分号去掉，同时把小数点向左移动两位即可。
答案：
$0.6 = 60\%$
$0.08 = 8\%$
$2 = 200\%$
$0.375 = 37.5\%$
$1.75 = 175\%$
$10.01 = 1001\%$
$100 = 10000\%$
$0.203 = 20.3\%$
$0.007 = 0.7\%$
$1.23 = 123\%$
$606 = 60600\%$
$88.8 = 8880\%$
$3\% = 0.03$
$0.4\% = 0.004$
$80\% = 0.8$
$100\% = 1$
$125\% = 1.25$
$6900\% = 69$
$2.5\% = 0.025$
$314\% = 3.14$
$45\% = 0.45$
$2000\% = 20$
$110.5\% = 1.105$
$180\% = 1.8$
答案：
$0.6 = 60\%$
$0.08 = 8\%$
$2 = 200\%$
$0.375 = 37.5\%$
$1.75 = 175\%$
$10.01 = 1001\%$
$100 = 10000\%$
$0.203 = 20.3\%$
$0.007 = 0.7\%$
$1.23 = 123\%$
$606 = 60600\%$
$88.8 = 8880\%$
$3\% = 0.03$
$0.4\% = 0.004$
$80\% = 0.8$
$100\% = 1$
$125\% = 1.25$
$6900\% = 69$
$2.5\% = 0.025$
$314\% = 3.14$
$45\% = 0.45$
$2000\% = 20$
$110.5\% = 1.105$
$180\% = 1.8$
二、计算下面各题,怎样简便就怎样计算。
$56÷\frac {8}{7}-\frac {1}{7}$
$(\frac {2}{27}+\frac {3}{26})×27×26$
$\frac {1}{8}÷12+\frac {1}{8}÷\frac {12}{11}$
$\frac {8}{7}-(\frac {1}{9}-\frac {1}{12})×36$
$36÷(\frac {5}{6}-\frac {1}{3})×\frac {8}{9}$
$\frac {9}{10}÷[\frac {1}{2}×(\frac {6}{5}-\frac {3}{10})]$
$56÷\frac {8}{7}-\frac {1}{7}$
$(\frac {2}{27}+\frac {3}{26})×27×26$
$\frac {1}{8}÷12+\frac {1}{8}÷\frac {12}{11}$
$\frac {8}{7}-(\frac {1}{9}-\frac {1}{12})×36$
$36÷(\frac {5}{6}-\frac {1}{3})×\frac {8}{9}$
$\frac {9}{10}÷[\frac {1}{2}×(\frac {6}{5}-\frac {3}{10})]$
答案
解析：
题目给出了多个数学表达式，要求使用简便的方法进行计算。
这些表达式主要涉及到分数的运算，包括除法、乘法、加法和减法。
对于每个表达式，我们需要按照运算的优先级（先乘除后加减，有括号先算括号内的）进行计算，并尽量寻找简便的计算方法，如利用分数的性质进行约分或简化。
答案：
1. $56 ÷ \frac{8}{7} - \frac{1}{7}$
$= 56 × \frac{7}{8} - \frac{1}{7}$
$= 49 - \frac{1}{7}$
$= 48\frac{6}{7}$
2. $(\frac{2}{27} + \frac{3}{26}) × 27 × 26$
$= \frac{2}{27} × 27 × 26 + \frac{3}{26} × 27 × 26$
$= 2 × 26 + 3 × 27$
$= 52 + 81$
$= 133$
3. $\frac{1}{8} ÷ 12 + \frac{1}{8} ÷ \frac{12}{11}$
$= \frac{1}{8} × \frac{1}{12} + \frac{1}{8} × \frac{11}{12}$
$= \frac{1}{8} × (\frac{1}{12} + \frac{11}{12})$
$= \frac{1}{8} × 1$
$= \frac{1}{8}$
4. $\frac{8}{7} - (\frac{1}{9} - \frac{1}{12}) × 36$
$= \frac{8}{7} - (\frac{1}{9} × 36 - \frac{1}{12} × 36)$
$= \frac{8}{7} - (4 - 3)$
$= \frac{8}{7} - 1$
$= \frac{1}{7}$
5. $36 ÷ (\frac{5}{6} - \frac{1}{3}) × \frac{8}{9}$
$= 36 ÷ \frac{1}{2} × \frac{8}{9}$
$= 36 × 2 × \frac{8}{9}$
$= 72 × \frac{8}{9}$
$= 64$
6. $\frac{9}{10} ÷ [\frac{1}{2} × (\frac{6}{5} - \frac{3}{10})]$
$= \frac{9}{10} ÷ [\frac{1}{2} × \frac{9}{10}]$
$= \frac{9}{10} ÷ \frac{9}{20}$
$= \frac{9}{10} × \frac{20}{9}$
$= 2$
题目给出了多个数学表达式，要求使用简便的方法进行计算。
这些表达式主要涉及到分数的运算，包括除法、乘法、加法和减法。
对于每个表达式，我们需要按照运算的优先级（先乘除后加减，有括号先算括号内的）进行计算，并尽量寻找简便的计算方法，如利用分数的性质进行约分或简化。
答案：
1. $56 ÷ \frac{8}{7} - \frac{1}{7}$
$= 56 × \frac{7}{8} - \frac{1}{7}$
$= 49 - \frac{1}{7}$
$= 48\frac{6}{7}$
2. $(\frac{2}{27} + \frac{3}{26}) × 27 × 26$
$= \frac{2}{27} × 27 × 26 + \frac{3}{26} × 27 × 26$
$= 2 × 26 + 3 × 27$
$= 52 + 81$
$= 133$
3. $\frac{1}{8} ÷ 12 + \frac{1}{8} ÷ \frac{12}{11}$
$= \frac{1}{8} × \frac{1}{12} + \frac{1}{8} × \frac{11}{12}$
$= \frac{1}{8} × (\frac{1}{12} + \frac{11}{12})$
$= \frac{1}{8} × 1$
$= \frac{1}{8}$
4. $\frac{8}{7} - (\frac{1}{9} - \frac{1}{12}) × 36$
$= \frac{8}{7} - (\frac{1}{9} × 36 - \frac{1}{12} × 36)$
$= \frac{8}{7} - (4 - 3)$
$= \frac{8}{7} - 1$
$= \frac{1}{7}$
5. $36 ÷ (\frac{5}{6} - \frac{1}{3}) × \frac{8}{9}$
$= 36 ÷ \frac{1}{2} × \frac{8}{9}$
$= 36 × 2 × \frac{8}{9}$
$= 72 × \frac{8}{9}$
$= 64$
6. $\frac{9}{10} ÷ [\frac{1}{2} × (\frac{6}{5} - \frac{3}{10})]$
$= \frac{9}{10} ÷ [\frac{1}{2} × \frac{9}{10}]$
$= \frac{9}{10} ÷ \frac{9}{20}$
$= \frac{9}{10} × \frac{20}{9}$
$= 2$
